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L1 adaptive control of uncertain gear transmission servo systems with deadzone nonlinearity
Zongyu Zuo1, Xiao Li2, Zhiguang Shi3
1The Seventh Research Division, Beihang University (aka Beijing University of Aeronautics and Astronautics, BUAA), Beijing 100191, China; Science and Technology on Aircraft Control Laboratory, Beihang University (BUAA), Beijing 100191, China.
Abstract:
This paper deals with the adaptive control problem of Gear Transmission Servo (GTS) systems in the presence of unknown deadzone nonlinearity and viscous friction. A global differential homeomorphism based on a novel differentiable deadzone model is proposed first. Since there exist both matched and unmatched state-dependent unknown nonlinearities, a full-state feedback L1 adaptive controller is constructed to achieve uniformly bounded transient response in addition to steady-state performance. Finally, simulation results are included to show the elimination of limit cycles, in addition to demonstrating the main results in this paper.
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